2101122033100 has 72 divisors (see below), whose sum is σ = 4868807126400. Its totient is φ = 785291404800.

The previous prime is 2101122033061. The next prime is 2101122033119. The reversal of 2101122033100 is 13302211012.

It is a super-2 number, since 2×2101122033100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11595985 + ... + 11775784.

It is an arithmetic number, because the mean of its divisors is an integer number (67622321200).

Almost surely, 2^{2101122033100} is an apocalyptic number.

2101122033100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101122033100 is an abundant number, since it is smaller than the sum of its proper divisors (2767685093300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101122033100 is a wasteful number, since it uses less digits than its factorization.

2101122033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23371843 (or 23371836 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2101122033100 its reverse (13302211012), we get a palindrome (2114424244112).

The spelling of 2101122033100 in words is "two trillion, one hundred one billion, one hundred twenty-two million, thirty-three thousand, one hundred".